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台灣西部河川寬度單變數經驗公式之研究

Single Varible Empirical Formula of the River Width in the Western Taiwan

摘要


本研究進行台灣西部部分中央管河川大甲溪、朴子溪、頭前溪地文判釋的相關資料蒐集與分析,每條河川選擇至少75個控制點,從衛星影像、地形圖或斷面資料讀取實際的河川寬度數據,進行GIS作業,取得地表覆蓋率、河川坡度、地形坡度、上游集水區面積等單變數因子的數據,並做河寬與單變數的迴歸分析,探討與河寬發展的相關程度及重要性。分析結果發現,集水區面積的相關係數均較其他影響因子為高,均超過0.5,屬於實質相關,符合Power Law特性,指數次方介於0.42-0.67之間,其他因子則因區域差異呈現中低度相關或無關。

並列摘要


The geography data of the Dajia Creek, Putsu Creek, and Toucian Creek in western Taiwan will be collected and analyzed by ArcGIS to obtain some information related with river width. The least 75 selected points in each creek were used to produce the measured data of river bed width from satellite images or topography diagrams. Single variable regression analysis will be used to analyse those data and find the coefficients of experience equations. Those data include land cover, river slope, land slope, and catchment area got from GIS analysis. The correlation coefficient R-Squared value of the catchment area is higher than the others and excess 0.5, i.e. it belongs to substance relationship. The relationship of river width and the catchment area fit with power law curve, the index power of exponent is situated between 0.42-0.67. The results show that the other factors are moderately related or irrelevant in different region.

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